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Algebra II/Trig. > Chapter 1: Algebra Review > Flashcards

Chapter 1: Algebra Review Flashcards

1
Q

Commutative Property

A

numbers can be added/multiplied in any order.

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2
Q

Associative Property

A

numbers can be grouped in any way

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3
Q

Distributive Property

A

you have to multiply a number into parentheses

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4
Q

Property of Opposites

A

when you add opposite numbers you get 0 (-7+7)

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5
Q

Symmetric Property

A

when something flipped sides of the equal sign (2t=4 and 4=2t)

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6
Q

Transitive Property

A

when two items are equal to a third item, the two are equal (a=b b=c a=c)

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7
Q

What are the steps to solve combined inequalities?

A
  1. simplify each side
  2. get like terms on one side of the inequality
  3. get variable by itself
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8
Q

When do flip the inequality sign?

A

when you multiply or divide by a negative

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9
Q

When graphing use…

A

( )

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10
Q

When graphing or equal to use…

A

[ ]

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11
Q

Conjunction

A

a sentence formed by joining two statements with AND

only true when both statements are true

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12
Q

Disjunction

A

a sentence formed by joining two statements with OR

only true when one statement is true

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13
Q

Absolute Value

A

distance from a number and 0

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14
Q

Extraneous Solution

A

a solution derived from another solution that doesn’t fit the original equation

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15
Q

What are the steps to solve absolute value equations?

A
  1. isolate absolute value by itself
  2. determine if conjunction or disjunction
  3. setup two equations
  4. solve
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16
Q

How can you easily determine if a absolute value equations is a con/disjunction?

A

L”and” of G”or”
Less than is conjunction
Greater than/equal is disjunction

17
Q

What is a constant?

A

quantity that is always the same

18
Q

What is a variable quantity?

A

quantity that changes

19
Q

What is the different between a numerical and algebraic expression

A

an algebraic expression has variables

20
Q

What is an easy way to identify patterns

A

a table of inputs and outputs

21
Q

What are rational numbers?

A

all numbers you can write with terminating or repeating decimals

22
Q

What are irrational numbers?

A

all numbers without terminating and repeating decimals

23
Q

What are whole numbers?

A

numbers that are neither negative nor fractions

24
Q

What are integers?

A

number that are either positive or negative but not fractions

25
Q

What is a term?

A

expression of a number and/or variable (ex. 12x)

26
Q

What is a coefficient?

A

the numerical factor of a term (ex. 4 is coefficient of 4x)

27
Q

What is an equation?

A

statement that two expressions are equal

Algebra II/Trig. (2 decks)

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